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Simplifying 2(4x + 3) + 2x = 5(2x + 3) Reorder the terms: 2(3 + 4x) + 2x = 5(2x + 3) (3 * 2 + 4x * 2) + 2x = 5(2x + 3) (6 + 8x) + 2x = 5(2x + 3) Combine like terms: 8x + 2x = 10x 6 + 10x = 5(2x + 3) Reorder the terms: 6 + 10x = 5(3 + 2x) 6 + 10x = (3 * 5 + 2x * 5) 6 + 10x = (15 + 10x) Add '-10x' to each side of the equation. 6 + 10x + -10x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + 0 = 15 + 10x + -10x 6 = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 6 = 15 + 0 6 = 15 Solving 6 = 15 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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